scholarly journals Mechanical properties of lattice materials via asymptotic homogenization and comparison with alternative homogenization methods

2013 ◽  
Vol 77 ◽  
pp. 249-262 ◽  
Author(s):  
Sajad Arabnejad ◽  
Damiano Pasini
Keyword(s):  
Mechanical Properties ◽  
Asymptotic Homogenization ◽  
Lattice Materials ◽  
Homogenization Methods

The Development of New Chemically Resistant Material for the Invert Grouting

2021 ◽  
Vol 321 ◽  
pp. 37-42
Author(s):  
Petr Figala ◽  
Rostislav Drochytka ◽  
Vit Černý
Keyword(s):  
Mechanical Properties ◽  
New Technologies ◽  
Wastewater Treatment Plants ◽  
Raw Materials ◽  
Basic Research ◽  
Building Structures ◽  
New Material ◽  
Basic Characteristics ◽  
Homogenization Methods ◽  
Grouting Materials

This work deals with the basic research and development of new technologies of cement-based invert grouting, in the recipe of which the appropriately selected secondary raw materials will be used as much as possible. This new grout will be part of a new comprehensive system for the remediation of chemically exposed building structures, such as sewers, silage pits and wastewater treatment plants. The aim of this work is to monitor the influence of the method and the degree of homogenization of the developed recipes on selected physical-mechanical properties of the injection material. For the needs of this work, several basic recipes were proposed, as well as the methodology of production of test specimens, their storage and testing. At the same time, three homogenization methods were chosen, differing in the manner and degree of implementation. The basic characteristics of grouting materials, which were monitored in this work, include the viscosity and processability of fresh material. Due to the requirement for increased resistance of the new material, the compressive strength and absorbency of the hardened test specimens 40 × 40 × 160 mm were monitored depending on the maturation time. The research results so far show that thorough homogenization has a fundamental effect on achieving the required physical-mechanical properties. The final methodology of homogenization of dry components will be used in the pre-preparation of all materials of the new chemically resistant remediation system, including the sprayed mixture.

Analysis of effective properties of electroelastic composites using the self-consistent and asymptotic homogenization methods

2008 ◽  
Vol 46 (8) ◽  
pp. 818-834 ◽  
Author(s):  
V.M. Levin ◽  
F.J. Sabina ◽  
J. Bravo-Castillero ◽  
R. Guinovart-Díaz ◽  
R. Rodríguez-Ramos ◽  
...  
Keyword(s):  
Effective Properties ◽  
The Self ◽  
Asymptotic Homogenization ◽  
Self Consistent ◽  
Homogenization Methods

The Mechanical Properties of Hierarchical Truss-Walled Lattice Materials

2017 ◽  
Vol 09 (02) ◽  
pp. 1750027 ◽  
Author(s):  
Fangfang Sun ◽  
Qing Zheng ◽  
Hualin Fan ◽  
Daining Fang
Keyword(s):  
Mechanical Properties ◽  
Lattice Structure ◽  
Wall Structure ◽  
Lattice Structures ◽  
Mechanical Behaviors ◽  
Hierarchical Lattice ◽  
Buckling Stress ◽  
Lattice Materials ◽  
Buckling Resistance ◽  
Theoretical Analyses

To construct a hierarchical lattice structure (HLS), truss wall is introduced into ordinary lattice structure (OLS). Young’s modulus, yield strength and buckling stress of HLSs were evaluated theoretically. Failure maps of different HLSs were plotted and compared based on the theoretical analyses. It is indicated that mechanical behaviors of hexagonal HLSs made of triangular lattice walls can be greatly enhanced by the hierarchical wall structure, while properties of triangular HLSs are weakened, except the anti-buckling resistance. When HLSs are made of bending-dominated honeycomb walls, their properties will be reduced, indicating that hierarchical structure should be appropriately designed to make ultra-light structures benefit from this construction. This viewpoint is strengthened by the discussions on the performances of high order lattice structures, where only bending-dominated HLSs with stretching-dominated lattice wall benefit from the hierarchy.

A Multiscale Approach to Assess the Effect of Multilevel Structuring on the Properties of Hierarchical Lattice Materials

2012 ◽  
Vol 1420 ◽  
Author(s):  
Andrea Vigliotti ◽  
Damiano Pasini
Keyword(s):  
Mechanical Properties ◽  
Three Dimensional ◽  
Multiscale Approach ◽  
Periodic Patterns ◽  
Structural Hierarchy ◽  
Lattice Materials ◽  
Lattice Geometry ◽  
Overall Performance ◽  
Multiple Levels ◽  
Insight Into

ABSTRACTNatural materials have often a defined multilevel hierarchy which governs their macroscopic mechanical properties. Cork, sponge and bone are only a few examples. These materials are generally heterogeneous and can exhibit a cellular pattern, i.e. a partition of a solid with voids, at multiple levels of the structural hierarchy. It is well known that the arrangement of the voids plays a major role in the overall performance of the material. Furthermore, it has been demonstrated that the nesting of cellular patterns at different levels confers remarkable mechanical properties to the structure.This paper presents a multiscale approach to the analysis of a hierarchical structure which exhibits nested levels of lattice, i.e. regular periodic patterns of voids occur at different length scales. A number of three-dimensional topologies as well as the effect of lattice geometry parameters have been investigated. The results of the analysis are plotted onto material property charts. The visualization of the properties helps gain insight into the contribution that each hierarchical layer imparts to the overall properties of a component hierarchically structured with lattice materials.

scholarly journals How to Surpass the Deep-Sea Glass Sponges Mechanically

2021 ◽  
Author(s):  
Quan-Wei Li ◽  
Bohua Sun
Keyword(s):  
Mechanical Properties ◽  
Deep Sea ◽  
Lattice Structure ◽  
Structural Complexity ◽  
Theory Of Elasticity ◽  
Square Lattice ◽  
Engineering Structures ◽  
Biomimetic Design ◽  
Lattice Materials ◽  
Bionic Structure

The biomimetic design of engineering structures is based on biological structures with excellent mechanical properties, which are the result of billions of years of evolution. However, current biomimetic structures, such as ordered lattice materials, are still inferior to many biological materials in terms of structural complexity and mechanical properties. For example, the structure of \textit{Euplectella aspergillum}, a type of deep-sea glass sponge, is an eye-catching source of inspiration for biomimetic design; however, guided by scientific theory, how to engineer structures surpassing the mechanical properties of \textit{E. aspergillum} remains an unsolved problem. The lattice structure of the skeleton of \textit{E. aspergillum} consists of vertically, horizontally, and diagonally oriented struts, which provide superior strength and flexural resistance compared with the conventional square lattice structure. Herein, the structure of \textit{E. aspergillum} was investigated in detail, and by using the theory of elasticity, a lattice structure inspired by the bionic structure was proposed. The mechanical properties of the sponge-inspired lattice structure surpassed the sponge structure under a variety of loading conditions, and the excellent performance of this configuration was verified experimentally. The proposed lattice structure can greatly improve the mechanical properties of engineering structures, and it improves strength without much redundancy of material. This study achieved the first surpassing of the mechanical properties of an existing sponge-mimicking design. This design can be applied to lattice structures, truss systems, and metamaterial cells.

scholarly journals Stiffness and strength of a semi-regular lattice

2017 ◽  
Vol 50 (3) ◽  
pp. 137-140
Author(s):  
Tomas Their ◽  
Luc St-Pierre
Keyword(s):  
Mechanical Properties ◽  
Compressive Strength ◽  
High Strength ◽  
Elastic Buckling ◽  
Low Density ◽  
Two Dimensional ◽  
Regular Lattice ◽  
Dimensional Lattice ◽  
Lattice Materials ◽  
Analytical Expressions

Honeycombs and other lattice materials have the advantage that their topology can be designed to achieve unique combinations of properties, such as high strength at low density.  The work presented here is exploratory in nature: we investigated the mechanical properties of a two-dimensional lattice and compared its performances to other topologies.  Analytical expressions for the uniaxial stiffness and compressive strength were developed and validated against Finite Element simulations.  The results showed that the lattice considered is stiffer and stronger than the diamond lattice, and has a higher resistance to elastic buckling than the triangular lattice.  

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